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This paper introduces and reviews some of the principles and methods used in Bayesian reliability. It specifically discusses methods used in the analysis of success/no-success data and then reminds the reader of a simple Monte Carlo…

统计方法学 · 统计学 2024-06-10 Carsten H. Botts

An algorithm is presented which generates pairs of oscillatory random time series which have identical periodograms but differ in the number of oscillations. This result indicate the intrinsic limitations of spectral methods when it comes…

数据分析、统计与概率 · 物理学 2007-05-23 A. G. Rossberg

The optimization of the observation schedule of gamma-ray emitters by the new generation of Cherenkov Telescopes to extract cosmological parameters from the measurement of the Gamma Ray Horizon at different redshifts is discussed. It is…

天体物理学 · 物理学 2009-11-10 O. Blanch , M. Martinez

Applying the standard weighted mean formula, [sum_i {n_i sigma^{-2}_i}] / [sum_i {sigma^{-2}_i}], to determine the weighted mean of data, n_i, drawn from a Poisson distribution, will, on average, underestimate the true mean by ~1 for all…

天体物理学 · 物理学 2009-10-31 Kenneth J. Mighell

The upcoming Cherenkov Telescope Array (CTA) project is expected to provide unprecedented sensitivity in the low-energy ( <~100 GeV) range for Cherenkov telescopes. In order to exploit fully the potential of the telescopes the standard…

天体物理仪器与方法 · 物理学 2019-08-14 Julian Sitarek , Dorota Sobczyńska , Michał Szanecki , Katarzyna Adamczyk

In this paper, we present some double inequalities involving certain ratios of the Gamma function. These results are further generalizations of several previous results. The approach is based on the monotonicity properties of some functions…

经典分析与常微分方程 · 数学 2015-06-25 Kwara Nantomah

A Bayesian analysis of the probability of a signal in the presence of background is developed, and criteria are proposed for claiming evidence for, or the discovery of a signal. The method is general and in particular applicable to sparsely…

数据分析、统计与概率 · 物理学 2009-11-13 Allen Caldwell , Kevin Kröninger

Due to the lack of test-beams in ground-based gamma-ray astronomy, detector calibration has been a major challenge in this field. However, with the use of Cherenkov ring-images due to cosmic-ray muons and of strong gamma-ray signals, the…

天体物理学 · 物理学 2019-08-14 Frederic Piron

Every experiment is affected by systematic effects that hamper the data analysis and have the potential to ultimately degrade its performance. In the case of probes of the cosmic microwave background (CMB) radiation, a minimal set of issues…

宇宙学与河外天体物理 · 物理学 2012-06-08 Franz Elsner , Benjamin D. Wandelt

This guide offers suggestions/insights on uncertainty quantification of nuclear structure models. We discuss a simple approach to statistical error estimates, strategies to assess systematic errors, and show how to uncover…

核理论 · 物理学 2014-05-26 J. Dobaczewski , W. Nazarewicz , P. -G. Reinhard

Astrophysical and cosmological signals such as the cosmic microwave background radiation, as observed, typically contain contributions of different components, and their statistical properties can be used to distinguish one from the other.…

宇宙学与河外天体物理 · 物理学 2015-05-28 V. G. Gurzadyan , T. Ghahramanyan , S. Sargsyan

Linear mixed effects models are widely used in statistical modelling. We consider a mixed effects model with Bayesian variable selection in the random effects using spike-and-slab priors and developed a variational Bayes inference scheme…

统计方法学 · 统计学 2024-08-15 M-Z. Spyropoulou , J. Hopker , J. E. Griffin

Score reliability is necessary for establishing a validity argument for an instrument, and is therefore highly important to investigate. Depending on the proposed instrument use and score interpretations, differing degrees of precision in…

物理教育 · 物理学 2017-02-23 Robert M. Talbot

The LSST survey will provide unprecedented statistical power for measurements of dark energy. Consequently, controlling systematic uncertainties is becoming more important than ever. The LSST observing strategy will affect the statistical…

This textbook provides a systematic treatment of statistical machine learning for astronomical research through the lens of Bayesian inference, developing a unified framework that reveals connections between modern data analysis techniques…

天体物理仪器与方法 · 物理学 2025-06-17 Yuan-Sen Ting

Asteroseismology has the capability of delivering stellar properties which would otherwise be inaccessible, such as radii, masses and thus ages of stars. When coupling this information with classical determinations of stellar parameters,…

太阳与恒星天体物理 · 物理学 2015-06-22 Luca Casagrande

We consider the evaluation of laboratory practice through the comparison of measurements made by participating metrology laboratories when the measurement procedures are considered to have both fixed effects (the residual error due to…

应用统计 · 统计学 2012-05-09 John F Clare , Annette Koo , Robert B Davies

Physics analysis in astroparticle experiments requires the capability of recognizing new phenomena; in order to establish what is new, it is important to develop tools for automatic classification, able to compare the final result with data…

神经与进化计算 · 计算机科学 2009-11-10 A. De Angelis , P. Boinee , M. Frailis , E. Milotti

Estimating the causal effect of an exposure on an outcome is an important task in many economical and biological studies. Mendelian randomization, in particular, uses genetic variants as instruments to estimate causal effects in…

统计方法学 · 统计学 2017-06-06 Sai Li

Now that weak lensing signals on the order of a percent are actively being searched for (cosmic shear, galaxy-galaxy lensing, large radii in clusters...) it is important to investigate how accurately weak shears can be determined. Many…

天体物理学 · 物理学 2016-08-30 K. Kuijken